Dartmouth Events

Optional ZOOM LINK

We live in an era, rich in information, which comes in many forms—sounds, signals, graphs, images and more, and information often manifests itself in its "shape." Hence, the understanding this shape can enhance one’s understanding of information, leading one to ask fundamental questions such as: (1) how many samples do I need to take to recover an RF signal? (2) what is an intrinsic dimension of this hyper-spectral image? (3) How can I find hidden communities in a social network? —just to name a few. In the talk, I will describe how studying the geometry and topology of this shape (sometimes, something as simple as counting the number of non-zero components of a vector) can positively impact what one can learn from information.